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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 35 · 40 questions
TalentJR

Engineer's tip (Triangles stay put): Triangles are rigid; trusses, towers and frames use them. A pin-jointed frame with n sides needs n − 3 corner-to-corner braces; a row of n triangles uses 2n + 1 straws. Arches squeeze (compression); beams span gaps; domes are arches turned round in a circle.

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  1. 1.🔺 Which strong shape does a bicycle frame use? (a) dome (b) arch (c) beam (d) triangle
  2. 2.🔺 One side of a straw bridge is a row of 11 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  3. 3.🔺 Which strong shape does a truss bridge side use? (a) beam (b) triangle (c) dome (d) arch
  4. 4.🔺 One side of a straw bridge is a row of 2 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  5. 5.Which of these uses a dome? (a) an igloo (b) a roof truss (c) a lintel over a door (d) an old stone bridge
  6. 6.🔺 Which strong shape does a planetarium roof use? (a) arch (b) beam (c) triangle (d) dome
  7. 7.🔺 Which strong shape does a plank over a drain use? (a) arch (b) triangle (c) beam (d) dome
  8. 8.True or false: a round palace roof uses triangles. (a) True (b) False
  9. 9.True or false: a lintel over a door uses triangles. (a) False (b) True
  10. 10.🔺 A beam bends under a load. Its top side is … (a) not affected (b) squeezed (compression) (c) floating (d) stretched (tension)
  11. 11.🔺 Why can an arch carry heavy loads? (a) it works in compression (b) it bends easily (c) it is very light (d) it is hollow
  12. 12.Which of these uses triangles? (a) a fort gateway (b) a plank over a drain (c) an electric pylon (d) a planetarium roof
  13. 13.🔺 A frame shaped like a triangle is made of straws joined by loose pins, with 0 corner-to-corner braces. Is it rigid or wobbly? (a) rigid (b) wobbly
  14. 14.Which of these uses a dome? (a) a bicycle frame (b) an old stone bridge (c) a slab over a canal (d) a round palace roof
  15. 15.Which of these uses a beam? (a) a fort gateway (b) a plank over a drain (c) a crane arm (d) an igloo
  16. 16.True or false: an electric pylon uses triangles. (a) True (b) False
  17. 17.🔺 How do engineers stop a square frame from wobbling? (a) take off a side (b) paint it (c) add a diagonal brace (d) make it bigger
  18. 18.🔺 One side of a straw bridge is a row of 8 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  19. 19.True or false: a truss bridge side uses triangles. (a) True (b) False
  20. 20.🔺 Which shape keeps its shape best when its corners are pinned? (a) square (b) rectangle (c) triangle (d) hexagon
  21. 21.Which of these uses a beam? (a) an old stone bridge (b) an electric pylon (c) a truss bridge side (d) a shelf on two brackets
  22. 22.True or false: a round palace roof uses a dome. (a) False (b) True
  23. 23.🔺 Which strong shape does a crane arm use? (a) triangle (b) dome (c) arch (d) beam
  24. 24.🔺 Which strong shape does an igloo use? (a) beam (b) arch (c) triangle (d) dome
  25. 25.🔺 Which strong shape does a lintel over a door use? (a) dome (b) beam (c) triangle (d) arch
  26. 26.🔺 Which strong shape does a round palace roof use? (a) arch (b) dome (c) triangle (d) beam
  27. 27.🔺 A flat frame has 10 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  28. 28.Which of these uses triangles? (a) an old stone bridge (b) a lintel over a door (c) a roof truss (d) a shelf on two brackets
  29. 29.Which of these uses an arch? (a) a truss bridge side (b) a planetarium roof (c) an igloo (d) a curved stone doorway
  30. 30.True or false: a plank over a drain uses a dome. (a) False (b) True
  31. 31.Which of these uses an arch? (a) a round palace roof (b) an electric pylon (c) a lintel over a door (d) an old stone bridge
  32. 32.True or false: an electric pylon uses an arch. (a) True (b) False
  33. 33.🔺 Which strong shape does a curved stone doorway use? (a) arch (b) dome (c) triangle (d) beam
  34. 34.True or false: a curved stone doorway uses triangles. (a) True (b) False
  35. 35.True or false: a roof truss uses an arch. (a) True (b) False
  36. 36.🔺 One side of a straw bridge is a row of 10 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  37. 37.🔺 One side of a straw bridge is a row of 12 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  38. 38.True or false: a truss bridge side uses an arch. (a) False (b) True
  39. 39.🔺 A flat frame has 9 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  40. 40.🔺 A frame shaped like a square is made of straws joined by loose pins, with 0 corner-to-corner braces. Is it rigid or wobbly? (a) rigid (b) wobbly

Answer key

  1. triangle
  2. 23
  3. triangle
  4. 5
  5. an igloo
  6. dome
  7. beam
  8. False
  9. False
  10. squeezed (compression)
  11. it works in compression
  12. an electric pylon
  13. rigid
  14. a round palace roof
  15. a plank over a drain
  16. True
  17. add a diagonal brace
  18. 17
  19. True
  20. triangle
  21. a shelf on two brackets
  22. True
  23. triangle
  24. dome
  25. beam
  26. dome
  27. 7
  28. a roof truss
  29. a curved stone doorway
  30. False
  31. an old stone bridge
  32. False
  33. arch
  34. False
  35. False
  36. 21
  37. 25
  38. False
  39. 6
  40. wobbly

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